Details

sample41.0ms

Algorithm

intervals

Results

12.0ms	32×	body	1280	valid
9.0ms	172×	body	80	valid
7.0ms	30×	body	640	valid
3.0ms	18×	body	320	valid
0.0ms	4×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	13	5
1	22	4
2	28	4
3	28	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(fma (cos y) z (+ x (sin y)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative` `flip3-+` `flip-+` `fma-udef`

Counts

2 → 4

Calls

2 calls:

2.0ms	(+ x (sin y))
1.0ms	(fma (cos y) z (+ x (sin y)))

series66.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ x (sin y))
42.0ms	(fma (cos y) z (+ x (sin y)))

simplify107.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	58	36
1	116	35
2	201	33
3	357	33
4	1052	33
5	3055	33
6	5001	33

prune26.0ms

Filtered

10 candidates to 7 candidates (70.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	8	2	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	8	3	11

Merged error: 0.0b

Counts

11 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (sin y) (sin y)))
0.0b	(fma (cos y) z (/ (- (* x x) (* (sin y) (sin y))) (- x (sin y))))
0.3b	(* (sin y) (sin y))
17.6b	(/ (- (* x x) (* (sin y) (sin y))) (- x (sin y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-commutative`
8×	`difference-of-squares`
4×	`prod-diff` `associate-/l*`
3×	`flip3--` `flip--`
2×	`fma-neg` `associate-/r/` `sqr-sin` `associate-/l/`
1×	`pow2` `sub-neg` `frac-2neg` `div-sub` `clear-num` `fma-udef` `div-inv` `sin-mult` `associate--r-`

Counts

4 → 32

Calls

4 calls:

5.0ms	(- (* x x) (* (sin y) (sin y)))
1.0ms	(fma (cos y) z (/ (- (* x x) (* (sin y) (sin y))) (- x (sin y))))
3.0ms	(* (sin y) (sin y))
8.0ms	(/ (- (* x x) (* (sin y) (sin y))) (- x (sin y)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* x x) (* (sin y) (sin y)))
80.0ms	(fma (cos y) z (/ (- (* x x) (* (sin y) (sin y))) (- x (sin y))))
20.0ms	(* (sin y) (sin y))
59.0ms	(/ (- (* x x) (* (sin y) (sin y))) (- x (sin y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	201	216
1	751	204
2	2649	184
3	5002	182

prune93.0ms

Filtered

44 candidates to 26 candidates (59.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	44	3	47

Merged error: 0.0b

Counts

47 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(fma (cos y) z (/ 1 (/ 1 (+ x (sin y)))))
0.1b	(/ 1 (+ x (sin y)))
0.2b	(/ 1 (/ 1 (+ x (sin y))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-/r/`
4×	`clear-num`
3×	`frac-2neg` `flip3-+` `associate-/r*` `flip-+` `div-inv` `inv-pow`
2×	`remove-double-div`
1×	`+-commutative` `pow-flip` `fma-udef`

Counts

4 → 23

Calls

4 calls:

2.0ms	(+ x (sin y))
1.0ms	(fma (cos y) z (/ 1 (/ 1 (+ x (sin y)))))
3.0ms	(/ 1 (+ x (sin y)))
4.0ms	(/ 1 (/ 1 (+ x (sin y))))

series146.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ x (sin y))
41.0ms	(fma (cos y) z (/ 1 (/ 1 (+ x (sin y)))))
57.0ms	(/ 1 (+ x (sin y)))
24.0ms	(/ 1 (/ 1 (+ x (sin y))))

simplify51.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	118	108
1	385	105
2	1776	103
3	5001	103

prune77.0ms

Filtered

35 candidates to 24 candidates (68.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	35	3	38

Merged error: 0.0b

Counts

38 → 3

regimes50.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample1.2s

Algorithm

intervals

Results

412.0ms	998×	body	1280	valid
285.0ms	5559×	body	80	valid
202.0ms	810×	body	640	valid
71.0ms	429×	body	320	valid
23.0ms	204×	body	160	valid